Geodesic
New periodic Gibbs measures for $q$-state Potts model on a Cayley tree
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 297-304

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In this paper under some conditions on parameters of the $q$-state Potts model on a Cayley tree of order k we prove existence of the periodic (non translation-invariant) Gibbs measures. Also we give a result about the number of such measures.
Keywords: Cayley tree, Potts model, Gibbs measure, periodic Gibbs measures, translation-invariant measures.
Mots-clés : configuration 
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     title = {New periodic {Gibbs} measures for $q$-state {Potts} model on a {Cayley} tree},
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Rustamjon M. Khakimov. New periodic Gibbs measures for $q$-state Potts model on a Cayley tree. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 297-304. http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a2/